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Finding the Third Proportional to 62.13 and 71.75

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Solution

The third proportional to 62.13 and 71.75 is: 82.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.13 : 71.75 = 71.75 : x
  2. Step 2: Convert to fraction form
    62.13/71.75 = 71.75/x
  3. Step 3: Cross multiply
    62.13x = 71.75 × 71.75
  4. Step 4: Simplify right side
    62.13x = 5,148.06
  5. Step 5: Solve for x
    x = 5,148.06/62.13
  6. Step 6: Final answer
    x = 82.87

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.